The following table shows the standardized math exam scores for a random sample of students for three states. The sample included an equal number of eighth-graders and fourth-graders.       Tennessee Florida Arizona Eighth Grade 260 292 286   255 260 274   247 287 290   277 280 269   253 275 284   260 260 297 Fourth Grade 275 270 286   248 283 290   250 280 295   221 270 278   236 283 258   240 290 2

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.5: Interpreting Data
Problem 1C
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  1. The following table shows the standardized math exam scores for a random sample of students for three states. The sample included an equal number of eighth-graders and fourth-graders.

     

     

     

    Tennessee

    Florida

    Arizona

    Eighth Grade

    260

    292

    286

     

    255

    260

    274

     

    247

    287

    290

     

    277

    280

    269

     

    253

    275

    284

     

    260

    260

    297

    Fourth Grade

    275

    270

    286

     

    248

    283

    290

     

    250

    280

    295

     

    221

    270

    278

     

    236

    283

    258

     

    240

    290

    287

     

     

    Conduct a two-way ANOVA analysis using α = 0.05, by defining Factor A as the state and Factor B as to whether the student is an eighth-grader or a fourth-grader, what is your F test statistic for main effect of Factor A (the state):

     
    1. 1.5227

       
    2. 0.7635

       
    3. 20.799

       
    4. 0.3892

       
  2.  
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